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Obsidian-Vault/AI Linear Algebra/Linear Combinations.md

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A type of function on a [[Vector Set]] that sums the elements with a corresponding coefficient scalar such as $2x_1+x_2$ or $x_1+x_3$ or for a more generalized equation $\sum_{i=1}^{n}x_i v_i$ where $S = \{v_1,...,v_n\}$ is the vector set and $v_i \in S$ and $x = (x_1,...,x_n)$ is a list of coefficient scalars.
%% Related to [[Vectors]]%%